I think the science from connected cities pantheon would have been best this game (i had god king) to speed up compass for example.
Hadn't considered that. I selected the wonders pantheon on Turn 58 - took a screenshot, and my science was only +11 at the time. Wish I had made a save so I could test if Wheel would be required for the science boost. Even if it is, would certainly have been beneficial to build a shrine (especially after +8 faith for finding Lhasa first) and get the three required techs.
Like the idea enough to play this map again. Won't be a fair comparison of course, but I'll do the same strategy. Compass rush, Tradition/Honor/Exploration, Great Library and Oracle, no National College, avoid the worker steal from Lhasa even though it would have been a huge help in my first run. Main comparison will be the time to Compass (Turn 98 in first run).
Addendum:
Started - restarted several times to replicate my scouting (to get the same ruins - gold, barb camps, spearman). Changed initial build order to add the shrine (scout, monument, shrine, worker, settler, settler). Got the pantheon on Turn 25 and verified that it didn't help science until I researched Wheel. Surprised it gave the capital +2 science as well as the two expansions.
However, I'm less inclined to see it out. Trying to force the same early game approach isn't working due to timing on the three additional techs (Turn 60 and I haven't started on the Great Library or expansion libraries). Since Wheel isn't necessary for the gold benefit of city connections with Dido, I'm not convinced the science pantheon is worth the detour. With only two expansions, it would take 10 turns to make up the science on a small map without meeting any AIs that know the tech. It would take 22 turns to make up for all three techs.
If it's already part of the tech path though (or ancient ruined), then it's an excellent choice - 40 turns with a free +6 science is more than 50% of Compass.